The midpoint between these two would be -7, as you would add these two numbers, and then divide by two.
Answer:
B = 61°
A = 29°
a = 10
Step-by-step explanation:
We are given;
c = 16, b = 14
Since we are told that C is a right angle, it means that C = 90°
Thus using sine rule, we have;
c/sin C = b/sin B
16/sin 90 = 14/sin B
16/1 = 14/sin B
sin B = 14/16
sin B = 0.875
B = sin^(-1) 0.875
B ≈ 61°
Now, since C is a right angle, it means that c will be the hypotenuse of the triangle.
Thus, from pythagoras theorem, If the other side of the triangle is a, then;
a² + b² = c²
a² + 14² = 16²
a² = 16² - 14²
a² = 256 - 156
a² = 100
a = √100
a = 10
Since we know B and C, we can find A because sum of angles in a triangle is 180°.
Thus;
A = 180 - (B + C)
A = 180 - (61 + 90)
A = 29°
Answer:
$40.50 will be taken out in taxes.
Step-by-step explanation:
First, solve for how much Naomi will receive in a paycheck:
$225 + $50(9)
$225 + $450
$675
Now, solve for 6% tax:
$675 × 0.06
$40.50
Answer:
13 songs
Step-by-step explanation:
If you divide the 39 minutes by the 3 minutes you will find how many songs are on the album.
39/3 = 13
So, there are approximately 13 songs on the album.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Answer:
The weights of each cylinder and prism are 3 and 4 ounces, respectively.
Step-by-step explanation:
Let be 
and 
the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:
i) <em>She found that 4 cylinders and 5 prisms weigh 32 ounces:</em>
(Eq. 1)
ii) <em>And that 1 cylinder and 8 prisms weigh 35 ounces:</em>
(Eq. 2)
Now we solve the system of linear equations algebraically:
From (Eq. 2):
(Eq. 2) is (Eq. 1):
From (Eq. 2):
The weights of each cylinder and prism are 3 and 4 ounces, respectively.
